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Finding the Fourth Proportional to 73,455.60, 101,387.16 and 41,643.48

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Solution

The fourth proportional to 73,455.60, 101,387.16 and 41,643.48 is: 57,478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,455.60 : 101,387.16 = 41,643.48 : x
  2. Step 2: Convert to fraction form
    73,455.60/101,387.16 = 41,643.48/x
  3. Step 3: Cross multiply
    73,455.60x = 101,387.16 × 41,643.48
  4. Step 4: Simplify right side
    73,455.60x = 4,222,114,169.72
  5. Step 5: Solve for x
    x = 4,222,114,169.72/73,455.60
  6. Step 6: Final answer
    x = 57,478.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.